Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080bk |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20801126400000000 = 225 · 3 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111905,-12665025] |
[a1,a2,a3,a4,a6] |
Generators |
[2115:96000:1] |
Generators of the group modulo torsion |
j |
591202341974089/79350000000 |
j-invariant |
L |
6.0349793409318 |
L(r)(E,1)/r! |
Ω |
0.26334572309306 |
Real period |
R |
1.4322853030537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080cj2 690a2 66240bz2 110400bf2 |
Quadratic twists by: -4 8 -3 5 |